Theorems · Theorem · order theory

Filter.frequently_lt_of_limsInf_lt

∀ {α : Type u_1} {f : Filter α} [inst : ConditionallyCompleteLinearOrder α] {a : α},
  autoParam (Filter.IsCobounded (fun x1 x2 => x1 ≥ x2) f) Filter.frequently_lt_of_limsInf_lt._auto_1 →
    f.limsInf < a → ∃ᶠ (n : α) in f, n < a

Defined in

Mathlib.Order.LiminfLimsup

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ConditionallyCompleteLinearOrder